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3 years ago

Find the value of x.

Mathematics

2 answers:

VMariaS [17]3 years ago

5 0

The answer is 38 degrees

aniked [119]3 years ago

4 0

The value of x is: A. 38°

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Noelle and karina both leave the Internet cafe at the same time, but in opposite directions. If karina travels 9 mph faster than

Vesna [10]

Noelle goes east at N mph.
Karina travels west at N + 9
then their velocity between them is (N + N + 9)
After 8 hours they travel 8(2N + 9) = 232
(2N + 9) = 29
2N = 20
N = 10 mph for Noelle
N+9=19 mph for Karina

7 0

3 years ago

A. 75.36 m2<br> B. 12 m3<br> C. 25.12 m3<br> D. 72 m2<br> E. 144 m2

yarga [219]

The answer to this question is E.

7 0

3 years ago

The volume of a hemisphere is 144 pi. Find the radius and total surface area.

sineoko [7]

Formula of the Volume of a hemisphere:
V = $\frac{2}{3}$ $\pi$ r³
144 $\pi$ = $\frac{2}{3}$ $\pi$ r³
Multiply by 3 to cancel fraction in the right side
144 $\pi$ × 3 = 2 $\pi$ r³
432 $\pi$ = 2 $\pi$ r³
Divide by 2 $\pi$ on either sides to isolate r³
$\frac{432 \pi }{2 \pi }$ = $\frac{2 \pi }{2 \pi }$ r³
2 $\pi$ and $2 \pi$ cancel out
216 = r³
Take cube root to find the radius
$\sqrt[3]{216}$ = $\sqrt[3]{r^3}$
6 = r
Radius is 6 units

The formula of the surface area of a hemisphere is:
S.A = 2 $\pi$ r² + $\pi$ r²
= $2\pi$ (6)² + $\pi$ (6)²
=2 $\pi$ × 36 + 36 $\pi$
= 72 $\pi$ + 36 $\pi$
= 108 $\pi$ units² (in terms of $\pi$ )
≈ 339.12 units²

Surface area = 108 $\pi$ units

8 0

3 years ago

The speed of sounds in water is 1.46 x 10^3 meters per second. The speed of sound in air is 3.31 x 10^2 meters per second. How m

dlinn [17]

Answer:

Hey there!

1.46x10^3-3.31x10^2

14.6x10^2-3.31x10^2

11.29x10^2

1.129x10^3

J is the correct answer.

Hope this helps :)

6 0

4 years ago

The graph of the function P(x) = −0.52x2 + 23x + 92 is shown. The function models the profits, P, in thousands of dollars for a

elena-14-01-66 [18.8K]

Answer:

6.84 ≤ x ≤ 37.39

Step-by-step explanation:

we have

$P(x)=-0.5x^2+23x+92$ -----> equation A

we know that

The company wants to keep its profits at or above $225,000,

$PXx)\geq 225$ -----> inequality B

Remember that P(x) is in thousands of dollars

Solve the system by graphing

using a graphing tool

The solution is the interval [6.78,39.22]

see the attached figure

therefore

A reasonable constraint for the model is

6.84 ≤ x ≤ 37.39

4 0

4 years ago